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Finding the Fourth Proportional to 580,406.94, 800,997.42 and 386,482.14

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Solution

The fourth proportional to 580,406.94, 800,997.42 and 386,482.14 is: 533,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,406.94 : 800,997.42 = 386,482.14 : x
  2. Step 2: Convert to fraction form
    580,406.94/800,997.42 = 386,482.14/x
  3. Step 3: Cross multiply
    580,406.94x = 800,997.42 × 386,482.14
  4. Step 4: Simplify right side
    580,406.94x = 309,571,197,016.08
  5. Step 5: Solve for x
    x = 309,571,197,016.08/580,406.94
  6. Step 6: Final answer
    x = 533,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.